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Finding the Fourth Proportional to 651.24, 976.91 and 240.37

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Solution

The fourth proportional to 651.24, 976.91 and 240.37 is: 360.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.24 : 976.91 = 240.37 : x
  2. Step 2: Convert to fraction form
    651.24/976.91 = 240.37/x
  3. Step 3: Cross multiply
    651.24x = 976.91 × 240.37
  4. Step 4: Simplify right side
    651.24x = 234,817.56
  5. Step 5: Solve for x
    x = 234,817.56/651.24
  6. Step 6: Final answer
    x = 360.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.